{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "from arch import arch_model\n",
    "# from arch import ConstantMean, GARCH, Normal\n",
    "import numpy as np\n",
    "import random"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Price</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Datetime</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2015-01-02 09:00:05.578056</th>\n",
       "      <td>111.35</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-01-02 09:00:09.691858</th>\n",
       "      <td>111.35</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-01-02 09:01:07.633216</th>\n",
       "      <td>111.35</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-01-02 09:01:07.633216</th>\n",
       "      <td>111.37</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-01-02 09:01:12.342601</th>\n",
       "      <td>111.37</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                             Price\n",
       "Datetime                          \n",
       "2015-01-02 09:00:05.578056  111.35\n",
       "2015-01-02 09:00:09.691858  111.35\n",
       "2015-01-02 09:01:07.633216  111.35\n",
       "2015-01-02 09:01:07.633216  111.37\n",
       "2015-01-02 09:01:12.342601  111.37"
      ]
     },
     "execution_count": 93,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "price = pd.read_csv('aapl20150102price_allday_orig.txt', header = None, names = ['Datetime','Price'], index_col = 0)\n",
    "price.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1a16a8ef10>"
      ]
     },
     "execution_count": 94,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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PgYiIiKhRGNQSLhZXunoIRERERI3CoNaHfXJbHwDA4yPbuXgkRERERI3DoNaHjeycBAAo\nKK928UiIiIiIGodBrQ8LDvAHAHy/6ZSLR0JERETUOAxqiYiIiMjjMaj1cc2iQwAAlTWsVUtERESe\ni0Gtj7trYAoAoLSSQS0RERF5Lga1Pi4qNBAA0GfmMtTWiS4eDREREVHDMKj1cfllVdL2Pd9tc+FI\niIiIiBqOQa2P25VVIG3nlVZZuJKIiIjIfTGo9XEPDmsrbQcH8K8DEREReSZGMT7usuRY/P3oIADA\n2G7NXDwaIiIiooZhUEtonxQJAJg5/6CLR0JERETUMAxqCaFB/q4eAhEREVGjeH1QKwjC14IgXBQE\nYb/s2I2CIBwQBKFOEIQ0k+unC4JwTBCEI4IgjHH+iImIiIiovrw+qAXwLYCxJsf2A7gewFr5QUEQ\nugC4BUBX/T0fC4LAaUwiIiIiN+f1Qa0oimsB5JkcOySK4hGNy68B8LMoipWiKJ4EcAxAuhOG6TY+\nWJGBMwXlyM4vgyiyGQMRERF5Bq8PauupBYDTsv1s/TGv1zQqBADwzrKjGDR7JQa/sQrfbcx07aCI\niIiIbMSgVknQOKaarhQE4X5BELYLgrA9JyfHCcNyvAWPD0b7pAhMG9dJOvbD5lMuHBERERGR7RjU\nKmUDaCXbbwngrOlFoih+LopimiiKaYmJiU4bnCPFRwRj2VPD8OCwtjj5+ngAwPGcUhePioiIiMg2\nDGqV/gZwiyAIwYIgpAJoD2Cri8fkdIKgNWFttPHYJew/U+ik0RARERFZF+DqATiaIAg/ARgOIEEQ\nhGwAL0K3cOwDAIkAFgiCsFsUxTGiKB4QBOEXAAcB1AB4RBTFWhcN3W3d+uUWAEDm7AkuHgkRERGR\njtcHtaIoTjJz6k8z188CMMtxI/IspZU1CA82/jUpr2KMT0RERO6H6QdkUV5plWK/tKrGRSMhIiIi\nMo9BLVmUKwtqLxZXKGZqJ36y0RVDIiIiIlLx+vQDapjQQH+UV9fiYlGFdCx91grFNTtO5Tt7WERE\nRESaOFNLmj66rTcAXakvIiIiInfHoJY0hQT4AwAOnmXpLiIiInJ/DGpJU0xYEADg+XkHAACiqGqs\nBgCordM+TkRERORMDGpJU1iQv2K/qrZO87pqM8eJiIiInIlBLWlqHRem2K+o0g5eK2sY1BIREZHr\nMaglTX5+yla5L/y9X/O6swXlzhgOERERkUUMaskm83af1TxuJtWWiIiIyKkY1FKjjH9/nauHQERE\nRMSglsy7Oa0V/E3SEIiIiIjcEYNaMquippYlu4iIiMgjMKgls5rHhAIAqmrqEBWi7Kj83i29EB0a\niCB/P7M1bImIiIichUEtmfXJ6uMAgA4zFqGookZx7ppeLTCyUxKqauuQOn0hsvPLXDFEt7AzKx9F\nFdWuHgYREZFPY1BLDVZYbgzkBr+xyoUjcZ2Syhpc//FGPDZnl6uHQkRE5NMY1FKDcREZkHmpFACw\n5miOi0dCRETk2xjUUoOVVSlTEvafKXTRSFznyg/Wu3oIREREBAa1ZMHWZ0dZPO/vp/zrs/7YJUcO\nx+1sz8xz9RCIiIhIj0EtmZUUFYIuzaLMnl9r8sh9w7FL2HEqTzWD6412nMrDDZ9ukvaDA/hPiYiI\nyJX4m5gsOniuSHXsmTEdNa/tmxKHiZ9swpNzdzt6WC73245sxX5lTZ2LRkJEREQAg1qqpxOvjcfD\nw9sCAObc109xrlhf1urAWXUgDACL9p1D22cXesVM7k9bT7t6CERERCTDoJbqxc9PgCDoqh4MbJuA\n7+5Ox5U9mgEATuToKgEUlWvXbH3ox52orRORnV/unME6Wcq0Baiu5YwtERGRKzCoJYv+7+ZeFs8P\n65CI92/pDQCo0bfUNW3UYMrTAz9LHdTGv7fOiSMhIjKvtk7EvuxC3PHVFlQxRYp8QID1S8iXhQX5\nW73GT1+v1lKt1ro6YyAY4OfZn6VyS6vMnhvQNt6JIyEi0nboXBHGyT5kHzlfjO4tozWvLa+qxf6z\nheibEues4RE5hGdHF+RwYUH2+dxTXWecJfD0mdozFtIn1mX4VlkzInJPyw5eUOyHBJr/dd975lLc\n+OkmXCiqcPSwiByKQS1ZFBliDGqv6dXcpnuSIoNVxw6fK5a23bFSQMq0BUiZtgC7Txco2v+aEkUR\nWXllZs9bupeIyFkKypTvRWcLzQesFdW69+T/Lj2K8xauI3J3DGrJoh6yx1WGlrDWFGgEdvllxkf2\n/+w52/iBOci1H21Az5eXYsepPOw+XaA6//y8/Xjsp12KY9/c1dd4f68WDh8jEZE1mbnK9+vJX2+1\nes/c7afR//UVqKiuxaFzRVi8/5yjhkfkEAxqySJDpQMA2JNtWxvcfqnqvKz7vt8ubecUVzZ+YHak\ntfBr4iebcO1HG1TH/7c5S3Wss6xBxdcbTtp3cEREDbDy8EWbrrtUon4/rqyuw61fbMaD/9tp72ER\nORSDWrK7Oo0gsbrWeOyqnralMThLbZ35agbWxIUHwcPXvRGRF4oLD1IdW7RPPfP61Xr1B/Gq2jrk\nlzGVijwPfx2T3W04lmvxfE2de+XUnrQxrcLU9HGdsPTJoYgKCZSODWjD6gdE5HodmkSojj30406s\nOqKcwTXtjggAuaXG2dtzhd5ZV5y8E4NacoonRreXtmtqGz4z6ggP/G+H2XNHzhsXuJnWeXxgWFsk\nRAQjJNAfx2aNQ6emkbhUUomPVx9Dr1eWNmpMF4srUFFd26jXICLftfNUAQa3S1Adn/LNNmn70Tk7\nNdPB3ll61G7j2JWVj3wLZRCJ7IlBLdnFT/f1t3heXgbLnUp65RRXSp3QtDwyx5hTZmmGOcDfD4fP\nFyPjYgneXHwEBWXVFps0WJM+awXu+W6b9QuJiExUVNeiqrbO6lOx+Xu1F4LJy4H9tCXL4jqISyWV\n+GvXGc1zVTV1uO7jjeg9c5kNoyZqPAa1ZLPXr+9u9tyAtvFY9+8R0v683co3uUX7z0vbz/y2t8GP\n/O3pYlEF+s5abvGaYxdLAABnCsox6Yst9Xr9Ew38Hg2NKqylcRARafl2YyYAYPOJPLPXzJx/0KbX\nen/lMYsfsIe8sQpPzN2NjAu6p1o7s/LxiL4lurzqDZEzMKglq+4ZnAoA6NZcuxuNQau4MMSE6fJL\np/68W3GupFLZOvf1hYfsOMKGSX9thc3Xzl50GHtkJb5syZ3NLanC1pPmf6mYs8LGVctERFo2n9B9\nIL6yRzPMubcfbk5rpThfVVOnWiBmqXvkXguVb8r1aVK/6nNzb/p0ExbsO4ezBeXYeSq/QeMnaii2\nySWr/jO2E0Z1TjLbYlFOXvC7pLIGRy8U4+DZItV1WhUSnOHj1cfQLzUOZVXqfNV1/x6BH7dk4dM1\nx1XnakxSJn66X51ukRARhEslxpmJab/vxYlLpXj7xp644bKWNo9x/l73reNLRO6vX2o8Vh/JwbRx\nndAyNgwRIQGYu/20dL64Ql3ZQFAdsey/y45iywnj0yRDN8UAfwE1dSIuFlciJNB6m3Uie+JMLVkV\nFOCHgW3VCw6suVhUges/3ogZf+1XnXNVV7E3Fx/BxE82YYfJDMJ/xnZCq7gwPD6qneqeoW+uUqRP\nmOusJg9oAWP6wdO/7pGOVdfWWV1N7E45x0TkeUToJg3C9W3OOzWNwpD2CZiU3hqA9tOgd27qVa+v\n8f6KDGyRPYmKCPZHbkml1J1s4icbkcsFYuRkDGrJYUwDRznDp3pnKpLNTnSRNUwAjDPHQf66fxJX\n9mgmnTNtixsSoD378Oz4Tma/9o5Tujf/GX/ux4DXV6LUJB1DLjo00Ow5IiJr3lx8BAAQqk8pCArw\nww/39EOf1jEAgH//tld1j7UnceUaT7fksvLKcNmryjUK8g/0RM7AoJYcpklUiMXzaa8uR9qrulWx\noig2qlqALV75x7gw4kyBcrbUkB4Q4O+HTdNH4p2bepp9naEdEjWPW2oqYfjWDI8AS6tqVN+zYb9v\nirojGxGRLeTls4IDlL/ik+PDVdc/MqItFj8xBC1iQvHbgwPQMjZU83W1Oo/JXSiyfL6uEU1uyHZP\n/bIbCzWabPgKBrVkV5PSjQsSpv68y+K1l0oqpUf2byw+gtTpC6U3vi0nclFZY986rfIi4y//o1z5\nK3/zbxYdimAzs7EA0DxGO1gPsNBa7IZPNyne1IsrapA6fSGmfGtcVTz4jVVInb5Q8cvhd43C6ERE\n5tz2pbFKi7zNOQBEhSqX0Xw1OQ3PjOmETk11T67SUuLw3d3pmq/b0GouBvN9ONCyZNWRi9h43D5P\nLitravHHzjN4+EffbW/MoJbsamw342N7W9ssVlTXSouzKmpqcexiMW7+fDNu+nSTQ8aoJcBf/U/h\n8VHtNa4EereO1Twer9GWUq5Kliv7+sLDAIDVR3IAAF+uOyHNHr+x+LB03fQ/9yleQxRF/N/yo8jO\nV6ZEEBEBwMFz6oW5Bi1ilLOwWu/RbRMj8MbE7ljyxFDMvKYrbkrTPcXKK7U8E2vN4z/tUiwsI50p\n32zDrfUsF2nOtR9ttMvreDIGtWRXwzokYv5jgzXPmb6hGjwi+1S5cN957DujKx+zx0IZmYYY3bmJ\n6tgDQ9tgTNcmCNNYpXu1hXQCLX5+ltcPP/WLsczZ8kPG4uYj31mNVxdolzgz7WJ24lIp/m95Bu7/\n3nwXNCLyXfcN0ZVgnK1RVzwyRJmvf0VX9XsiANzctzU6No3EHQNS8MToDgCAL9YaS4CdyClp0Nie\n/o05tnLyGVpb0u9q60RV6pzcIQsfaHwFg1qyO3MrXrXKyADKlbhP/7rHYW10QzXqMN6Y1gqf3ZGm\nGZA2JMf32yl9seSJoZrnFu47r3ncUkczANieaVxhbBiTvVMziMg7xEcEAwCuNlOlJSokQLZtfVGq\nYeGqfAZ45DtrLN5jLi/3dJ7lyi++5m5Z+tn6Y9ZTEGbOP4hBs1dqNi/alcWawACDWnKAtGTtx/Mt\nY8Nsut+Q5N482vJCs/oK9FcHrqkJ6oUTBkUV6goFm6ePsvg1hndMQsemkfUfnAU3aKRhcMkFEWkx\nVCkwV6Vlw7SRGNu1KTo0ibDp9cKDjUGwaRMdLQseH6zoLmm6gHbN0Rybvq4v6CNLZTPX4KKkskaa\nzDCUUDN0b5O77uONqvsAXXqfL2FQS3YnfxOU69kqGt9M6Wv1/lX6PNOzhRU4X1ih+Q+4If7Yqe5P\n7m8hZcBQ/kauaT0D7TYWguaGqW+JdCLyJRkXde+X5tKhIkMC8ekdl2Hpk8Pq/dryRWgGc2WNaNb/\nZwS6No+GIAjInD0BmbMn4INJvRXXT/56a72/rreS1yQ37eiWV1qFlGkL0O3FJbj2ow0AAMPSj/t/\nUKafyZ/mGfy2/TT2Zheg0/OLcf/32+08cvfFoJYcrnfrGHwwqTdevKorRnRMwn/Gmq/naqr/6ytw\n+btrGz2GebvVAa01piuH68PQlvLWfq0bdP8jI9oq9nOKTRZpcKqWiEx8tOoYFu47Dyvp/Q0mbxUO\n6N6n+rWJx/d3p+OO/slm102Yq6jgy2rrRGzLNKYMmFbk6TNzmbS9J7sQFdW12H9GO2dWK3UhKMAf\nV3+oC4aXHrygOu+tGNSSQ8hruf7x0EBc1bO51DJxRCftOq+ONPXn3dYvsufXG90eacmxuL6Pbe1x\nb05rhWOzxkn7P27JwoGXx0j7sxbo3vAaEWfbzcWiCqRMW8DHiERu5q0luqYLjiwJWyirmPDMGN0E\nxdAOiZh5bTezEwGD2sZbfM2LxRWKx+SvLTyEaz5cb4fRuq8/d1meaGkSFazYf3fZUcV+dW2dlGoi\nb+0+575+AIBnTSrnpExboFp47I0Y1JJDvHVDDwC6agimb3SGmoieYO79/TFlUEq972seE4rfHhqI\nuPAgvHRVF8W5fx4dLL3xGPRsFaMoK9YsOhThwQGYMaEzAODvPWcV15v+zlp5+AIyG1lH0lbz9+py\nnvkYkcj39Hxlab3vCfD3Q2KkMUgzXYSbPmsFHpA9Uv987QnsyS7EhaKKhg/UQX7dftrsouf6+GOn\nugZ5WZUxZ7mjye/Jz9aekLb7tI5B++cWofMLiwFAak2sO6e9pgUAMnOd8zvClRjUkkM0iQrBhmkj\n8eXkNLu8nj27ja381zDsev5y7HnhCqvX9msTX+/SXqb6m8xSdG8ZjYFtE7B9xmi8e3NPrHlmuJSm\n8OfDAwEAL1ypC4Sv6dUCgG7VOqEuAAAgAElEQVTm5dk/92lm1FZU1+Lub7dj+NurGzVOW8nr6BKR\na5i+J/7mwEYt9mjdLU+hWitrk25oSqP15OfKD9xrtnZfdiGe+W0vpv2+z/rFFoiiiI3HdTV7lz1p\nrJYjrxts6aHczixjGoi8qc+OGaOlJ6JaDp+3z/oUd8aglhymRUwoAjWaGjRErR2fp7VJjEBseBCi\nw2x7o24dZ1vVBlvuf1Jf8xEAEiKCcV3vlorWlb1bxyJz9gQM0AfC8oYOc7ZkoaBc96Yn/4W2K0uZ\n5+ZokwemOPXrEZFSxoVipE5fiFHvrMaxiyV4+tc9yHLgLFzPVupFs/X13PjO0rY81aDSwiNxczm6\nrmKoKLCgkd3RnphrTIdrFReGfqm61uh7ZTnLlTW1SE+Js7iYGQDeXHIEYUH+GN05SSrnJiev2OML\nTXsY1JJHqHFh3/D4iGDMmNAZ6/8zwvrFGkJln5zrmxNruoL5zq/Uj/yDApybaPu5/jFYY4N9ImqY\n0/rg5HhOKUb/dw1+25GN91cec9jX++jW3opW4g1xr74pBADklhhrmRdXGmcnZy04iP1njKWt7PGY\n354Ky7VrsNfXvN3GdLIgfz88NFy3MPghWSOiiuo6BAf6Ye+LxieKMWGBGNFRuSbl0zXHUVZViypZ\nfff7h7aRtptGhyBDv16jqNx6STZPx6CW3NKVPZop9i+VNKxF4zO/7sGUb4yBoLU6s+bcO6SNzXV2\nTclzihubRWGYKZC/TH6p8Y3fsHDAGfLMNNkgIvuqqa1T5JfutvB0pnVcmKqMVmNFhgTi4eHtFMcm\ndG9m5mptgiBI7781dXVSA4EC2SP3L9adxEt/H5D2j1tpTONMKdMW4MH/GYNO+eIsAMjKLcPgN1bi\n1fkHTW81a+a13eDnJyBO9kRut3629sj5YgQH+ClKZC57cphU8tLUWln6xiPD26Fnqxj886iuu2eg\nvx/8/QRs0yj95W0Y1JJLHJ451mLx78u7NMGk9FbS/h87zzRotf2vO7KlN4Hre7eod51Ze3nxqi6I\nCgnAoyPbWb/YBqdyjY+R7pXVIPx1x2m7vL4lhsdhJZU1ijqLROQYj/20C/1eW4HiimosOXAeH68+\nbvbauQ/0VzU8sIeHR7RVLHp9dkJnC1drCwvWPbV6Yd4BjHh7NX7YfEo1G7v9lPt1xjpfqF6wNnuR\ncW3BxaIKDH1rFbLzy/Hl+pMY9tYqzXsAKGaiO+kb9cSEGoPaT/U/2+jQQJSbNE5IjAzG01d0gDXR\nYYGY98ggdG8ZLR2rrROxww3/bO2NQS25REigv9Xi3+NlMwH/XXa03qvt/9ylXDjxh5USKo40ZVAq\n9r40xmp+VH3VmASVL8w7YOZK+9h/plCR32xLa0ciapxF+3UtttdlXMIDP+ywmI7VLNoxeaiB/n64\na5AxhaAh+a6mXc6+3XASEz9Rd0xsKFEU7bqo2KDAStpBjsmTxFO5ZWYXuRkC1ZvSWqJvii6XNklW\nvmvxgfPIL63C+aIKRAar133IfwakxqCW3FJiRHCjH9U/OXePfQbjYuO7NzV7LivPuYn/pm/UC/ee\nw8Zjlxzyi4SIlB6W5VxqGdI+weFjMHQKa4ggk7xce6cXpE5fiNTpCxt8f12diI3H1R/U80osB7Ul\nGi3VzaXMGRpY3HCZ8UmkacWCWQsPAdAFuADwwz3peHOirkxmuKzz2F0NWLT79fqT9b7HkzCoJbcR\nEmj861hVW6d69NJYt/dvWHcvV3vzhp6ax7Nyy+DnxG4MWoHrrzuyceuXW9B31nKnjYPIl9QnxSe/\nzHfz3O3xwfrL9Sdw6xdb8F+TRgfWfhcdOKvd6UvLqwt0AWtSpLJSweGZY6VtQ4pCoL/u/X1I+0Tc\n1FcXBAuCgD8eHojdL1yOl67uavPX7aFPRfD2pjkMasltHHjZ+I860N8PReX2Xfmalhxn19dzlgj9\nQoFEkzfBoW+tclptWgD4facxfWNYB+UK3EtWZjKIqGHqEzBl5Xp/ySZz5AtXG9IWHTA2lnl/RQbq\n6kRsPpGL2joRRy+UWLzvFTOLw84UlAMAjueUIKe4UhF4R4YEKK6Vz9Ya6skuf0o7Ra9P61jEhAUp\njlmb3/jyTl3N+OEdnd/R05kY1JJLLZo6RNqW55sObBuPJlG2L+o6cLYQW07kWrzGNBDzJO/e3BPf\n352Omdd20zw/qF080pLNd5Kxh6d/NaZzvGpmHERkXXVtHT5ZfdymtqXzTboJammmXwBbpPEY3FNd\npn8/K7KxrNfp/HJpe/of9W+OUFxRjb3ZxkVcT/6yG7d8vhmvLTwE06UQbRLD0bu19dq9f+06g5ra\nOox6Zw36zlqumCXVqilrKjLEei31JU/omjdYe2oXq6+wcOyi5QDd0zGoJZcyrP6M0n9qvXdwKsZ0\nbQJBEJCeqp5ZLTQzezvh/fW4+fPN0r683SCgC5hjw4NMb/MY1/Vuic7NonBH/2QsfHyI6nxyfLi0\najhl2gKHjKFrc13bxqVPDkVzNyuKTuRJvtuYiTcWH0bPl623nP1uUyYAICFC+/2rfVIE7hyQYr/B\nOdixWePwv3v6Wb3O8B4jrxZgyWM/GfONy6pqkTJtASqqa/HluhP4cGWG1ftNW/Iaasl+tf6kog0t\nAJzIKbWp6U3zmBBF6oK8Pq0WQ96sQViQ+e5gBikJulKT1tYgGxoh1Xn5+gcGteRSgiAgc/YE7H1p\nDABgxpVd8NkdusckIYH+qgUJh86pH8Xd+52xpFV2fhlWHLqALi8sUVwjb0Xo6QwfBOR6tIjWuNK+\nDCt1OzSJtFjFobCs2uZfRES+yFB71FJZQ4NqfVF9cyk+Izsn4b4hqbh3cCq2zxhtv0E6SIC/Hwab\nLGjb+qy6fvjEProW4R+vMl++TO50Xrnq2LUfbcCrCw7h7aVHNe5Q+sBC84qzBcbXNm2bXlljPt/2\nybl7FBMxf1qpwNPH5GmbLQ0vDDGqYLGxro6fAMzd5viyj67EoJY8yi2fb1aUsdp4/BKWH7og7Q9+\nYxV+2a78RzspvRVSZK1oPZ1plzEAuCmtFebcZ332wxZnCsrx7rKjqoUXyw5eUOzHmZn5Hjh7hdv1\nbCdyJ5uO61Kl9mRb/vBnafFT+yRdQDyobQIC/P0w48ouSLDhkba7eWNidyRFhSgmMPqmxEqNZGwt\nG6j19N2Qm2oLeeBqaqG+LW7m7Al4X9bYYtnBC3jghx2q6y+TBac5xeoqCOZ+Tu2SIvDmDcbZWqEe\nC4FtubRO1P3nzRjUktszfQQj76hy6xdbVNcvOaAMvl6/vodmIOjJjr82HruevxwHXxmDI6+OhZ+f\ngIFtExCg/z5XHb7Y4Ne+77vteG9Fhqo0zhmTN/07ByQr9vP1CzVK9b+MWOaLSO2DFRn4W5Yne9pC\nWb53ZDOMhtxJQPfvf+mTQ5ExaxyGeuhagd8fGoB+qXGY2KeldOyPhweie4tozLmvP4bJFjTV2RCJ\nWXu7Ka2swblC84Gr1kwvAHRsEoniSmU6m6H1+X3fb8dqkw5f+166Aj/f31/ar9TIm9aamTa4Ka2V\n2XOWMCVMx+uDWkEQvhYE4aIgCPtlx+IEQVgmCEKG/v+x+uOxgiD8KQjCXkEQtgqCwNUwbmDTNOUb\nQH16kJtWDPAWhhzhsKAABMsKmhuKsk/5dhuy8xu2EvqgLMXD0MpSy+jOTRT7hlI1BrXePiVA1ADv\nmJSL+mev+TzLD1fpHolHBgcoSkD5+wkQBEHKk/RElyXHYe4DAxAg+x76tI7FP48NRqC/H8KCjNUB\nftya1eiv1/XFJRjw+krNTl8V1bU4X6TdAezIhWLVU6kmUdq/V/a8cAUiQwJ1jSr0NWRv/WKz6jpr\nkyw/3ttPanFrTUigP967pRd+uq+/1Wst1Tz3Fp77L8J23wIYa3JsGoAVoii2B7BCvw8AzwLYLYpi\nDwB3AnjPWYMk86LDAhV5pKYFvC2pb39yT/fLAwOk7cFvrEJRRTVu/mwT9mZbX9SgZYS+ZNjjP+1S\nnetmksf7+85s/Oe3vdJ+FVvoEll1rqACby4+jN92KDsgynM1iytrEKFfTDvzGttrk3qL5//ar/jz\n+GjVMfyw+ZTimm4toqTyh5YcuaBOSZCXA9OSmhCOQe3ipf0+rbUrzUSHGasVGJ4wmn62X/fvEVbH\nOKhdgqLFrTXX9LKtBXyxF1XHMMfrg1pRFNcCyDM5fA2A7/Tb3wG4Vr/dBbogF6IoHgaQIghCE5DL\nXdHV+AmzPv8wr+5l/x7o7sy0YsS/ftmDLSfzFI8xG+JvG8oKAcBcWT6zL7yBEjXWD5tP4ePVxxUl\n8wCgokr5oTDQ3w+ZsyfgDg+qdNBY8u5ZHWcslpoivLXkCJ7/S3r4ivzSKuw/U4SSyhq8dl13i6/5\nlUZHLUOFCQD48+GBqvOZl0oRJJtRntDD+mSJVuD75OgOaBUXZvVeajivD2rNaCKK4jkA0P8/SX98\nD4DrAUAQhHQAyQBaar4COVVMqPET8H3fb1csFrMk2QffQOJlj8oMi7vqs4DEXotNlupbPBKRjrzU\n4MhOSarz+bIZwwrZzKQtj5a90Ye39lHsv78iA99tzFRdJ8/3l8+oajHt5AUAn605IW33bh2LH+5J\nV5zPLa1SPCEc1bkJxnRVznc9PLytYn90F+X57+9Ox8MjlNc428bjlmu5ewNfDWrNmQ0gVhCE3QAe\nA7ALgGq6SRCE+wVB2C4IwvacHO9uOecurjGZcZUX2jaYdZ0uBdqQrpQxa5xNBa69zfYZo1XdajYe\nv4SUaQss5sgCupJo5nqWA8Cu5y9X7B9/bTzWPDNc89oNx7z/DZTIVidySqRSg0+O7oCvJqepruk9\ncxlO55WhqqYOH+hrq86+vjsGtLUcqHmrEZ2SVMH/i38fUOxfLK5QVFtJjg9Hxqxx+HZKX83XNE3z\nAIBWcbpFVpPSdYu00pLj0C81TrF+w3QB8owJXRT7/duof0bzHzPmxQ7tkOjyHGhDVzFv5qtB7QVB\nEJoBgP7/FwFAFMUiURSniKLYC7qc2kQAqmcVoih+LopimiiKaYmJnrny1NPERwQjc/YEfHKb7pN7\nhb6gdUig8a9wd32OpyGHydVvIK4iCAL26ev+GpzTL474wEoR8sFvrFIdO5Fj7EBj2sDC309Asply\naYs5U0sk+VUWTN0zJBWCIODru9RBxpA3V2HGX/vwv826xVEXNUpC+ZKv79IOTgFdhZX0WStUxwP9\n/TC8YxJeMZN/nGny4d6QWvD69bpyWqFB/pj7wADN2XQD08Vj8ja3BqbrDlxtRKckVe13b+Obv/WB\nvwFM1m9PBjAPAARBiBEEwfA39V4Aa0VRtL3xNjmcoTxKlr4MTq9WulaFK/81DEfqUZPQV/2x8wwy\nNBZKWHI8R/cLwLCaV0tPM4saWNaLfJl8cdNuWQcqw4KmkZ2a4MDLY1T3/bLdGABXc8ElnhjdXvP4\n0QvKlq+tTdLN7uifjNVPD1fdt0e2cLauTpTe40y1b2JcoGw6BtNSk1ppDQCwafpIHJ5puladHMXr\ng1pBEH4CsAlAR0EQsgVBuAe6NIPLBUHIAHC5fh8AOgM4IAjCYQDjAEx1xZjJvM0ndI+0DQWvN5/I\nQ/cW0WiTGIHYMM9tg+sIw8zUrzTXF10+IytnyAMMDzbfsnGemfIzhpq1RL5m0/FcdJyxGCv0zWE2\n6d+7WpjUEw23smJfq124r3lidAfN4yWV1Yo/nx/vVTagEQQBKQnqJ0nyNKyyavPvUZNltbhNn/yZ\nNkaIkVU+kGsWHao5i0uO4fVBrSiKk0RRbCaKYqAoii1FUfxKFMVcURRHiaLYXv//PP21m/THOomi\neL0oivmuHj8pyQtM7zil+/Hs07dkNW0x6Ouu17eZHGiSj7f9lPZf66OyGdyf7++PmdfqcpSn/rwb\nAJCaYL2lp6nvN2XW+x4ibzBJX5/0nu+2o6jC2CpVnmdpMNmkkYnckPZMcQO0a8OWV9Xh+EXdh3E/\nAYgK1Q4sm5uUu5Ln1coX75mSr8kI1QhMR+gbRPRqFYMYTqq4Ba8Pasm7FMt+ORw4q2wxGejvXV3D\nGuuaXi2QMWscvrs7XUrTMNhw7JKqfaOh0DugW/SQb1K70dpj0GOzxqmOvbn4SH2HTeSRjpwvRmFZ\ntea5Pq8sk7ajNQKv/4zrxPcvK+RNeAyz3ReLK5Crf5868PJYzT9bAPjg1t4Y0j5B6r6WnV+OEn2X\nsHm7LJcrbKYPiLV+PqH6FIQWsezm5S4Y1JJHuaZXC2n7hXnKVbDhQdYLb/uaQH8/BPr74a9HBikW\nCNz25Rb0nbVcce3+M8r08eR4ZX7arizLDy4CzCzMm/GXdroDkbeorKnFmP9bi56vLMXWk3lSwGRQ\nI6vAr9VNKiwoAKufsV6U35f5+Qn46NY+uLVfa7x4la7ywFO/GGv7hgaZf8R/WXIcfrinH965sad0\n7FSuLgUhWL/YOCpE+/dHl2ZRAIDCcvUHloX7dIthsy20OibnYlBLHqVNovZKe8B660FSy9Uo32VY\nEDamq7Kl4pRBqVZfb80zw7Fo6hBF15z/bc5SLJgh8jYvyj5g3/TZJvyxU102ypqECPXj60VThzRq\nXN5mQo9meO267ooFXPUhb5teWql7TzIs8JpjphawISdXq1vZd3fr6tl+Odl8hQZyLga15FHCOBvb\nKKblXG78bJPqmpeu1pXBCQn0V3TR6ayfsbAkOT4cnZtFqbrmdJyxmIEteaWK6lr8vO204li5mQWS\nllp8Bwf4Y+a13TDnPuNiJ1v+zfmiFJOnSA8MbVPv17hJ/953Ok9X89y0moHBE6Pb466BKbi5b2vV\nuWEdEpE5e4IiWCbXYlBLXsVXO+801Al9KRtDh7bB7RIU54+8OhZTR7XH9hmjG/21Ppd17SHyFpO/\n3qo6Jk83kLvhMssNKu/on4yBbRMw85qumDGhs13G541MKw98ttb295anLldWUpi18BAA7TqzABAZ\nEoiXru5qMb2B3AeDWvJ4AbK0gwFt4zGhezN8evtlLhyRZ9l4/BLaPbcIANAuSVnhQBAEPHl5hwa1\nzn3zhh6K/SYmK5CJvMGWk3mqY28tUS+QvGtgCmbpK4pYc8eAFNw7pP6zj2TdXYNSNI9bmkUnz8Gf\nInk809mPj27rg7Hdmpq5mt6c2ENqCwkAt36xRdpetP+c3b7ODX2UPxc2YiBvs+WEshX0db1bKPZ3\nytpK19TVqWYYqeH+PbajtG3aRt2SqBBjhYSCsiqpVFdDPriT+2FQSx6vwkLxbFK7qW8rrPv3SM1z\nPVrGaB5vCD8/AVufNZbh+c/v+1BSWcPglryCKIq4+fPNimP/vamnYj8uPAh/PTIIAHCLRk4mNZy8\nw+FDw9s26DV6vbIMMWGBuNFKWgh5Dga15PG2ZbJHhr0kmyzwaqykqBBFPu7gN1YidfpC1JrJOSTy\nFFUmdZvTU+IUM7Ff3pkGQFeYP3P2BHRrod1KmhomLCgA7ZMi8OToDujUtH4L6h4b2U7arq6tY+qB\nF+FPkjxOSKDyry3bSDbM4ifU5YIeGdFO48rGiZTVfyzQF6c315KXyJ0dOleE+Xt1xfovFhnL4aWn\nxuGXBwcorh3dpYlTx+aLlj01DFNHt6/3ffKZ3UslVbikUdqQPBODWvI4pvUEb+nbykUj8Wxasxux\n4fZv9RgcoF41fPm7a+3+dYgc6Y3FhzHuvXV4dM4uzN97FkPeXCWdS08xfrD+6NY+qtxaci+mpSGX\nHLjgopGQvbHoJ3kc03qC/drEu2gknm9Seiv8tPU07h6Uip6t+HiUyJxPVh+Xth+ds0txbqIsJ3NC\nj2aY0KOZ08ZFREacqSWPE6Ix80cN8+JVXbHq6eF44aouihbERL7mTEE57vpmq6rFLQDUWcgBH94x\nUdUMgNyfvA7wyn8Nc+FIyJ4Y1JLHiQ2z/yNyXxUS6I/UBPOth+3lh3vSHf41iBrjls83YfWRHHR7\ncQlSpi1QnDtyoVjznpnXdsO3U9JZqssD3d4/GQF+AmZd1w1tEiOs30AegUEteZywYM7Uepoh7ROx\n7bnRmKcvbwQAF4srXDgiIiVDu1SDNUdzpO3dpws077mjf7JDx0SOExLoj2Ovjcdt/fgz9CYMasnj\nBPrzr60nSowMRs9Wxjq46bNWYN7uMy4cEZF5GbLZ2diwQNV5Vl0hcj+MDsijbZym3USA3NcX+vqd\nADD1590uHAmReXGySiDfbMhUne/PBapEbodBLXm05jGh1i8itzK6c5Krh0BkVWmVrlNhTnEltpzM\nAwDc3t/YFWzqqPrXRyUix2JQS0ROZbqoplRjtTmRMxlaN8fLZmdfW3AIVTV1+Gr9SenYg8OMRfv9\n/bg4jMjdsE4tEbnUqdwydGlevzaXRPaUo+8olZ4ah4vFldhxKh/l1bW4/cstaNfEuDI+PCgAi58Y\ngohg/uokckecqSWPdOeAZDw3vrP1C8ktzb6+u7Q9/v11OHy+yIWjIV+3aN95AMDe7ELMvd/YsXBr\nZh6qa+qk/QB/AZ2aRqFlLOvSErkjBrXkkV65phvuG9rG1cOgBrolvTU6NomU9uduO+3C0ZCve/Hv\nAwCAZ8d3RoBJdZUYWeUDVl4hcm/8F0pELjFtfCdp+5sNmdiWmefC0RABbZPUjUi+WGfMqQ1gHi2R\nW2NQS0QuMaKjsgrCjZ9uctFIyJedyCmRtq0tWjSdxSUi98J/oUTkMi1jWZKNXGvOlixpOy48GADQ\nu3WM6rp/Hh3stDERUcMwqCUil1n7zAhXD4F83Ppjl6Tt1ARd+sHvDw5UXde9ZbTTxkREDcOglohc\nxs8kR7GootpFIyFPVlpZg282nERlTW297y0o0/2de2ZMR+mYn5+AzNkTMLhdAgDg5rRW9hkoETkU\ng1oicqmtz46Stm//cosLR0Ke6ofNp/DyPwfx6vxDmuerZGW5TIUH+wMAJg9MUZ07nV8GACirrn+w\nTETOx6CWiFwqKSpE2t6bXejCkZCnMpSE+2HzKdW5lGkL0GHGIqRMW4CUaQtU54/nlAIAQgP9VedO\n5eqC2n/2nLXncInIQRjUEpHLvXlDD1cPgTxY8xjdByPT1rVbTuTa/Bpse0vk+RjUEpHL3STLWfxu\nY6brBuIhLhRVoLZOdPUw3ELKtAXYcEwXvLZJUNaZvfnzzWbvE0VRc+ZW7q9HBgEAvp3St5GjJCJn\nYFBLRG6hVZyuvNeLfx/A6bwyF4/GvXy/KRMp0xagoroWi/efQ7/XVqDtswtdPSynO5FTgvUZxmoF\nO7PyFeczLpbg4Fldy+XqWu08WsNixIpq83m2Br1axSBz9gQMN6mpTETuiUEtEbmFDyf1kbaHvLmK\nM5F6M+cfxAvzdG1cn/tzPx78304Xj8h1Rr6zBrd/ZVxM+PaSI6prsvJ0ObIbZKW65PacLgAAVMgW\nf13Vs7k9h0lELsKglojcQs9WyoL3yw9dQEV1LRbuO4dTuaXYc7oAZVWWOz55o6/WG9u0/r4zW3Eu\nZdoCHDjrG4vr5DOvB84W4pE5O7HxuPmc2bu+2aZ5/J7vtgMAzhSUS8eeG9/ZTqMkIlcKcPUAiIi0\nPPDDDvRLjcOWk3mK45mzJ7hoRO5pwvvrve7PpKa2Du8uP4qY0CBsOZmH6eM7KSoQTHh/vdl7P1l9\nHGO7NTN73lDe68oPjK/RJCrYDqMmIldjUEtEbuPk6+OROt2YK2oa0FpzvrACTaKCIQjesZJ91ZGL\nNl23L7sQLWJDERce5OAROcfbS4/i0zXHpf3lhy5YvP7wzLHo9PxiAMCe7EIUlFUpzvdoGY3s/HLk\nlVap7r21X2uv+ftC5OuYfkBEbkMQBPz+kLFFaXRooOoac7m2m47nov/rK/Dr9mzN855oiplH6Kau\n+nA9+sxc5uDROM+Wk7aX4gKAkEB/LHtyqLTf6xXln8V9Q9pg9TPDNe/tyfa3RF6DQS0RuZXLkmOl\n7Q5NIlTnN5upPfqHPt/U1tlNb7T/jGfn11bX1kEURezKKqj3ve2S1H9XAGDh40NwVc/miAoxfkCS\nfzAa2Dah/gMlIrfEoJaI3M7gdrpAY1tmvurc0QvFqmO7Txfg1x26oPZ8UYVjB+cCL13Vxabr/tp1\nxsEjcaweLy1VpJ8AwLPjO1m8x5BPbC6FoEvzKNUxecm4VnFh9R0mEbkpBrVE5HaSIs0v3Hn5n4MQ\nRWUKwvN/7Ze2d2UVIGXaApRUek+lhOYxoapjvz44ALf3b604VlFTq7rOE4iiiKk/70J5tXr89w9t\nK20nxysDUENtY3Oaylowy131gfmFZkTkuRjUEpHb6d82XrHfvUU0ruvdQtpfvP+84vw+jcfuEz/e\n6JjBOYm8jmqX5lF40WS2tm9KHFqbzDK2iPGsWcdTuaVImbYAqdMXYt7us6rzB18Zo9gf07WpYn/K\nwFSLr//wiLaax4v1H3gsfXgiIs/DoJaI3M7EPi0V+/88Nhj3D20j7T/0o/UGBEc00hQ8yah31gDQ\nzTa2jA3DlEHGAG5AG13Q36FJpOKeiGB/5w3QDr7ZkGnxfFiQskDPg8OUQWpIoOXvt32S8s/H8Odm\ncLG40soIiciTMKglIrfj7ydg67OjsPypodj/sm62rnMzdW6kJZEhnl2x0NAcoH+bOOnY4Zlj8e+x\nHfH9PekAoGrfqvX4vqGO55RgxNurkVviuMDv242ZNl2XqJ9RjQwJwO8PDcTITrrvO8BPmUe7Rlbh\n4L1bemGAyYz/Z3de1vDBEpHbY1BLRG4pKSoE7ZIiERFsDE77psRauEMpLdn2a93ZX7LH8iGB/nh4\neDsE+hvfujNnT0DGrHEAgNVHcuz2dT9bcxwnL5VarRHbGFd0aWL23M/395e2tz03GpmzJyDQ3w+X\nJcdKpd4C/JVBbXJ8uLR9Ta8WMCWvgEBE3odBLRF5jB/u6QcA6GLDrG2NmXq2nmDRvnPS9vCOiVav\nNwS5G4/nqhbRNZSdXlPloQIAACAASURBVMaiwADzv4JMUyvkDD9bfz91xYNVTw/HT/f1Vx036Ch7\n3fdu6WXLMInIQzCoJSKPERLoj9ZxYbhk5pH48dfG4+qezQEA6zIuOXNodlNbJypyhj+5rX6PzKtr\n7RTU6v8vwHHdtppEalcnSIwMttgdbeqo9ujaPEqVfgEAqQnhqrQDuZv7tpK2r+rRvB6jJSJ3x6CW\niDxKVl4ZLhZXolJfvqqsSreSfVC7ePj7CXh/Um9XDq/RDpxVVnIIDarf4q9Kk7JeeaVV+HvPWdWx\n277cbHFWVzRGtQ7z9YaTiv0v7kxD5uwJ2PbcaIv3tUuKwILHh2h2nLMmUJay4Kcx00tEnotBLRF5\npI4zFgMA7v5W10p2wzFjp7HRnXW5mucKy50/sEbaejKvQffd0T8ZALDkwAUUlldLx4e9tQqP/7QL\nh88XScf6zFyGDcdy8dnaE2ZfT9TP1Toq7NNqdxxkIR3BXlrEWq5tS0Sei0EtEXmU9FRjNYCLxRXY\nfEIXBLZNNC4S2n5Kd2zA6yudO7gG2pmVj6qaOgDAqwsONeg1DG1in/51D3q+vBTvLc8AABRX6Gay\nb/xkk+qe2YsOm39BfcxprlNXY2l94BhkIW3AXrLzPe+DDhHZhkEtEXmULyenSdtPzt0tbRta6wLA\nDbI6t6Vu2FmsprYOl81choX7zuHYxRJc//FGvLZQHcymp8Rp3K0tPFhZwuzd5UcV+4aGA3U2LqBz\ndPbBkfPqOsIB/o7/lWQoB0ZE3odBLRF5lEhZ8CZPObhP1pxh8sAUaXuRSfcxd7D5RB5yS6vw8I87\nkV9WBQDYfboAO07lK66rrquz+TWv760uYVVeVYsgk0DxXFGFTa9nyLd10EQtSqtc09LXWsMGIvJc\nDGqJyKOYexzeMtbYIrZptHFVvTs2YSiRzR4bckt3ny7AxE+UrX3lXcSs0Vr0NHdbFqpqdYGxoXlF\nXkmVTa8nzdTaENRO/GQjvlxnPj9Xy7kC16QBGGrVXtmjmUu+PhE5jvu92xMRNZK8OcEFG2cmnUUU\nRbz4935p/97vtpu9dlh76zVqLXnpn4PSdkv9AqmCcmNQe02v5iiqqLbYlMBSSa8Fe8/hkTm68mM7\nTuWjd+tYXCZrevHe8gwkx4fhWo1ZZHmN2S7NotCpqfm6tPYUFOCHdf8eIXUpIyLvwZlaIvI4X9+V\nZv0ivU9WH3fgSOpvx6l8XCgy1tktMZPzmzl7AqLD7NcBa9lBXWewO77aKh2bt/ssery0VFUGDLCt\n+YIhoDWQzzRX19bh3eVH8cTc3TidV4YX5u1HyrQFqK5VL4hbOHUI/nuz8xohtIoLYxoCkRdiUEtE\nHmd4B+Vin8Mzx6qumffIIABA/zaOX1FfH8/+uc/qNcnxYVav0bJo6hCM7dq03vf9sj1bdaw+6Qda\nnvplj7Q95M1V+H7TKQCQcoiJiOyNQS0ReRx5/uiLV3XRnHXr2SoGkSEBWLz/PFKmLcAZF+VwmsrK\nK7N6TUNb1HZuFiW11X1sZDsAwNAOxhQGrYoDAPD8X7pZ1Ox849ga2273H5OGDwZ7TxfWO/+WiMgW\nDGqJyKNdp5GvaVBcUYPyat2j9es/3uCsIVn04LC2Vq/p0TK6wa9/da/mePqKDrh3SBtkzp6A7+9O\nR9fmukViY/5vrcV7/9p1Rto2ztRqT9XmlTZsxvWj1ccaXIuXiMgSBrVE5NFsbSPbkJaq9iaKIv5P\n3xTBnG/u6ot3G5FfGhYUgEdHtld8vwfOFlm4wygpylg1whDVPv7TLqRMW6C6tv/rKzRfw9C22Jxd\nWQU2jYWIqL5Y/YCIPNKc+/rh6PliBAfYFtQevVCCSZ9vxk/393fwyMyTt681lTl7ghNHAqx6ejhG\nvL1acSxCVgNYhOX0A0MHNFNdXliCpvLg2ESHJhE4eqHE9oESEdmIM7VE5JEGtk3AXVbquA40abu6\n6USumSsdp65ORMq0Bbjps01Sy1qDW/u1xrFZ4xwe0GotHovSqN8rz/dtTErteQtl1EwD2iHtE8xc\nSURUPwxqichrfTOlL9olRbjka498ezX+t/kUFu4/BwDYejJPsfJ/23Oj8dp13Z3SGvbm9FbSdscm\nkciYNU7VVhcAZi86LG03cp0YAChq1mq5a2AKvp2S3vgvREQEBrVE5MWCA/yx/KlheO8W59VABYCT\nl0px4lIpZvy1H/vOFErHr/7QuFgtPNh5dVKDA4xv9V/cmYZAfz9FxYiHhxsXr9W36sGdA5LNniup\nqEGLmFDz4wr0UzRhICJqDAa1ROT1rullrJBgKP7vSBkXjKWzzuRrlxILC3LekobOTaOkbfkCsqiQ\nANzRPxn/HttJOlapz5U1zak1F+zWWQiCe7aKxop/DcOiqUMwslOS6vxna1jai4jsx+uDWkEQvhYE\n4aIgCPtlx+IEQVgmCEKG/v+x+uPRgiD8IwjCHkEQDgiCMMV1IyciRzh5qdThXyPA3zj7OH/vOdX5\newdbzgW2t9jwIGk7KtQYTO99aQxmXttNce2Bs7qZ5fUZlxTHU6cvVATrADC6cxPUmYlp7xqYguev\n1NUQ7twsCl/f1bcx3wIRkVVeH9QC+BaAabuhaQBWiKLYHsAK/T4APALgoCiKPQEMB/COIAhBICKP\nN6idbtHYL9tOO/xrWSsfdlt/84/sHalNYrjZurOx+pa8M+cfwpqjOSitUrfOvfxdXZ3bzfoFd8sP\nXZByb+VpBGFB/njp6q6IDFH+OaSnxCn3U5X7RESN4fVBrSiKawHkmRy+BsB3+u3vAFxruBxApKB7\n14/Q32e56CIReYTb++kCySMXirErKx+llY77pz31590WzzeLNl/yylEyZo3D0ieGmj3/X31t3FZx\nYZhvphsYABSUVSHjorGCgSEt4ZVruqJtYjgA4F9XdNS8d2um8q34q8lptg2eiMgGXh/UmtFEFMVz\nAKD/vyHZ60MAnQGcBbAPwFRRFB2fgEdEDjdM3z52XcYlXPfxRrww74DDvla2mTxaAIgPD9Js6+to\ngf5+Fist9Gih62L2z56zKLBQT3dPdiGe/0vK5pJyagP8BNw3pA0AoHPTSM17f7jHWOngtwcHqGZy\niYgag80XlMYA2A1gJIC2AJYJgrBOFEVFOx5BEO4HcD8AtG7d2umDJKL6CwsKwNInh+JMQTmmfLMN\nv+/Mxjs39bT71zl0Tt2968DLY3CusBztkrSDPXcQHxGMCd2bYcG+c1h28ILZ6yZ/vVXaviw5Vsqp\nFSDgpr4tkZYSa/b7HNzOWJO2vRv/WRCRZ/LVmdoLgiA0AwD9/y/qj08B8IeocwzASQCdTG8WRfFz\nURTTRFFMS0xMdNqgiahxOjSJxIiO6lX49rT7tLIN7N+PDkJ4cIBbB7QG/7qiQ72unzwwRcqpFQRA\nEASL36c8n1e+mI6IyB58Naj9G8Bk/fZkAPP021kARgGAIAhNAHQEwJozRF4mTl8NoL41WW0x/Y99\nAIAWMaHInD0BPVrG2P1rOEpCZHC9rr+qRzPpz9DPzAI0cxjUEpG9eX1QKwjCTwA2AegoCEK2IAj3\nAJgN4HJBEDIAXK7fB4CZAAYKgrAPuqoI/xFF8ZLW6xKR58or1XX2mrM1y2FfY/bE7g57bUcJNcn1\nbRIVjLn398fdZtoRC4Ig5dTWM6ZFkBM6qRGRb/H6nFpRFCeZOTVK49qzAK5w7IiIyF089+d+3NbP\nMeW1zhdWOOR1HSnQJNBc8a/hiAgOQL828Xjhqi5ImbZAdU/bRF0b4qZRtlV0yJg1DsUVNWZLixER\nNZTXB7VERKY6N4vSXNDVWOWy2q6jOjex++s7W0Sw9V8RD49oh7SUOAxoG2/Tawb6+0npH0RE9sTn\nP0Tkc0Z3tv9iscLyanR+YTEAXTDo7YFbUIDu14e/n2BzQEtE5EgMaonI50zs09Lur/mvX4wNF67v\n08Lur+9uvp7MtrdE5F4Y1BKRz2keE2r311x+SFcZ8LZ+rfHy1V3t/vrO0qNltNlzTaJ01RF+uCcd\ng9snmL2OiMgVmFNLRD7H8Oh8REf715luHRfm0Yugqmp0TRS1AvP5jw3BsoMXMKQ963MTkfvhTC0R\n+axtmfmKfXvUrfX0BWLTxun6zYzv3kx1LjEyGLf2YxdFInJPDGqJyGeVVNZI299uOInU6Qvx/oqM\ner9ORbWx6kG7pAi7jM1VhndMQubsCUisZyMGIiJXY1BLRD5v/5lCvPTPQQDAf5cdrff9X60/ae8h\nERFRPTGoJSKf9u2Gk7jyg/WNeo23lhyx02iIiKihGNQSkU8zzNASEZFnY1BLRGSirs78grGa2jpp\n+3RemaJ17LhuTR06LiIiMo9BLRGRiW82ZqqO1daJmPz1VrR7bhEyLhQDAL7eoMylnT2xhzOGR0RE\nGhjUEhGZmDlfnZLw+85srDmaA0CXQ/vbjmws3n9ecU10aKBTxkdERGoMaonIJ826rpvl8wuUge3B\ns0XS9tKDF/D0r3twrrBCOnZL31b2HSAREdULg1oi8kkjOiZZPP/FuvqV6Xp2QufGDIeIiBqJQS0R\n+aTmMaFWrzlTUC5tW+s2FhLg3+gxERFRwzGoJSIy47k/90nb1hroBvoLjh0MERFZxKCWiMiM1Udy\npO1aC2W+AEAQGNQSEbkSg1oiIr248CB8+P/tnXm4XUWVt99FRjohAUkgIQFCEAhzmALIIIMNApqA\nMgRR9PtAGz+GRmwVmxYFG1uhm0lkUAaRFlFRMSCDDGEQGROSkBASCYQkJEACCRkgE6nvj7X2PXX3\n3efce0G8XPi9z3Ofu88+u3ZV/WrVqrVr19n7cztVfnfj47Pqpjt42w3fqyIJIYRoIwpqhRAfWu79\n+sebfd5vq/58aoeNOPOQYU37lq96G4BGS2qv+sKu70n5hBBCtB0FtUKIDy2b9+/d7HOxxODAYbUn\nI/x23JyG5/jE1pqlFUKI9wNdO7oAQgjRkfRfpwfzl6wAYNGbqwBYsbr2KtwVMVNbxcwfHvbeFk4I\nIUSb0UytEOJDzaHbDWja7t3Dr/M3WKdH077NN+jdIo0QQoj3HwpqhRAfavLn1Z524BYAbNCnJz87\n3tfJrlXnqQb/oZctCCHE+woFtUKIDzVbD+wDwCWjh7PVgHWa9g/s2xPw5QfFixfy9bMn7jP0H1hK\nIYQQraE1tUKIDzX7bNGP207dm20iuC3o2c2v+VesXsPq+AHZjoP7sk7PrkycvegfXk4hhBCNUVAr\nhPhQY2ZsN6hvi/3du/hrb5+Zt7hphjYBFx0z/B9ZPCGEEG1Eyw+EEKKCvv/UDYAr7p/BzNeWAXDh\n3dM7skhCCCEaoKBWCCEqKJ6EALB2N5+1PXz4Rh1VHCGEEK2goFYIISroslbtqQf7/ff9AHzso/06\nqDRCCCFaQ0GtEEK0kS51Hu8lhBCi41FQK4QQdRiWPeIL4L5nX+2gkgghhGgNBbVCCFGH8rNolzd4\nZa4QQoiORUGtEELUYeSOzX8YNnrEJh1UEiGEEK2hoFYIIerQvWtzF/mWZmqFEOJ9i4JaIYRoI5P0\nJjEhhHjfoqBWCCHayEc36N3RRRBCCFEHBbVCCNFGunWRyxRCiPcr8tBCCNFGVr29pqOLIIQQog4K\naoUQoo1sseE6rR8khBCiQ+ja+iFCCCHGnLIXOwxet6OLIYQQog4KaoUQogG3n7YPt06ay/aD+nZ0\nUYQQQjRAQa0QQjRgm436sM1GfTq6GEIIIVpBa2qFEEIIIUSnR0GtEEIIIYTo9CioFUIIIYQQnR4F\ntUIIIYQQotOjoFYIIYQQQnR6FNQKIYQQQohOj4JaIYQQQgjR6VFQK4QQQgghOj0KaoUQQgghRKdH\nQa0QQgghhOj0KKgVQgghhBCdHgW1QgghhBCi06OgVgghhBBCdHospdTRZejUmNkSYFpHl6OT0Q9Y\n0NGF6ERIr/YhvdqH9Gof0qt9SK/28Y/Qa9OUUv/3OI8OoWtHF+ADwLSU0q4dXYjOhJk9Kc3ajvRq\nH9KrfUiv9iG92of0ah/S692h5QdCCCGEEKLTo6BWCCGEEEJ0ehTUvnt+2tEF6IRIs/YhvdqH9Gof\n0qt9SK/2Ib3ah/R6F+iHYkIIIYQQotOjmVohhBBCCNH5SSnV/QM2BsYCU4EpwL9m330EuBv4W/xf\nL/YPAx4BVgD/VjrfTOBpYALwZIN8P4k/Jus54Mxs/ymxLwH9GqTfDHgsyvZroHvsPwN4BpgE3Is/\n1qI9+R8AjAcmA9cDXevoNTfqPx/4YqbXo7H/TeAqwMp6xb5LI++VUYcJwJPA27E9ARhTp7y/jXwn\nAHOAV0OvUVnaCcBy4PBIfxywLCvz1rH/G8Absf8NYK/YPwR4KzvXn7L8z8Jvn0wHZgHPt0GvFOeb\nU9Qr9Hooyvkm8Huge4VeeVlWAq/F9vhSfRcAF9drX2CTOOeCKM8O1Lf9Q4AlcfxLwPqZXouiPEuA\nY7I090eeE6KM80OXTXFbnAT8BXiQUp+q0Gtp2MLkUn+cC6yKvJ8GhlfotSkwLtPrJWr2dScwMep7\nJdClSi9q9vkSMDv06kd9+6xnX7+N9n0rdDuwjn09i9vxFNzWno3ti6nwQXU0mxbaPJh99z+R/xrq\n+7CrQq+n4//LsT0Jt8sW9lXS7CXcrov0hXYp2r1K76Pw/pPwPvRr3PaPi/MVmiXgkEhzTJRpCnA+\ncG1otiAr4/RohylR510b+PsXgVeyNi/8fWHbT+P2dg/1/f2Lofl8wt9TYWO0tK9C/1XU+mO/SL8u\ncHPYwFRgT9zfPx1lWxg6j8D9/UzcLpdEnmdn5ftXvA8ujO8nx/7huK9+Ic7ZQquSZm9lbTKr1Cef\nxfvZUuCSCvv6Ps39zGtkYyRwamgzBTi/js+/Ntv+I6UxEvgxsDRLexE+Di6Lsq3E7Wt/mtvX28CX\nI80vI4/Jkd91uH1NBvaL8k6JNp8Un/8MbNTOMfIefKxZhtvrZ6kTU+A+ew0wL/KbSH2fnev108ij\nGCNfo+bDvhZpJwO/AnpG+ltCkxX4mPZPsf9/ae7DPpnlWfTByaXtFrET7psr4xqa++wpwEnZd+fh\nPnhpOV3pHN+Ouk8DDm5PTIbHDkWbPgnsnX13Z9T7tlKaylgtbKXQfgLN+2NlWXB/WOmzKsvbihAD\ngZ1je50wsm3i8/nUAoIzgR/F9gbAbiF2VVBbNxiNY7oAM4CheEebmOW5Ez7gNTwP8BtgdGxfCXw1\ntvfPjPGrwK/bmj8+qz0b2DKOOxc4oUKv/XCj3yQadXYY7fmxvWfo9TweHDXTCzgUuAMPbucB47Lz\ntzDcivLOAn7ZSC+8U72eabEEOCO2HwIeie2Lgatj+2rCYcc5J9fJ/+XQvNBr91b02hl3+FX2NQkY\nHXo9FW1W1isvS127wJ3Cvg3a93e4gzkvzrMt9W3/deCc2B4L3J7p9YvY/kYct1Z8vp/okFGOnXEH\n91tqTv0mYHy5T1XodSBwdOiW6zUOOJIG/THq3CO+exG3l43ic5/4b6HH6Aq9nscDbwOOj3aZiQ8I\nlY6V+vZ1GDUbvAKYV7avkl5TgP1jX3fcvq6tp1dJs0twv7Aw0+yG0GVpA80uzPTZDlhN9cAzDti3\nok/sFuXeJtK/Sq1PDinrHZ+3xn3AM8CuVPgwYHs8IPg1sH60Y/845nrg9Kh3ruOpkc9WZPZYoVWX\naOcXgB3xPnINJX8f5zqZ+v5+cRxzWbavbGPH0rI/7h3nvJpaf+yX1e3EzAbWjXadhPvTK4HLon77\nAwcDt1Hy99EWk0PL/fFJkOnx3Z/jXFsDX8YH7XpB7UA8QOtHSz/xKzxw6RGa/bjCvs6huZ9ZBXws\na+t7qPXXDSrsqyceaB0UekwDPkGtT+6K2/nSUrl/g/fvU/HAu2xfH8EDy5tj/6HRZhb1+h/cVp6J\nv03iuKFZHqcBV7ZzjLwH+E9qNtaPOjEFbj/LiMCIOvEKLX3Yc8D9FWPkdrjNr51p9KXYfjD0smjT\nG2P/KdT8w2XAaxV+a3Jpuxw7XQ7chfvjKt+S++zeUdYizz2i3nWD2tBgIm6Hm4UWxQX0zKo8S+l7\nU1uqugPwbPbdgcCnaRnU1os99isfm31XWRa8H1b6rKq/hssPUkrzUkrjY3sJfgU0KL4ehTsY4v/h\ncdyrKaUn8M75ThgBPJdSej6ltBIf6EfFuZ9KKc1slNjMDJ9RvbmibGNTSm/G/keBwe3If31gRUpp\nehx3N34V2URKaR5uYHenlGbhg9lE/CrxM8DylNIjUaae+ExpWa9ReGCUcGfV18wGNqhyubyP4Z23\nkV5HAneklN4MvdYOPcA73YaxvTU+mIEPFgPj+Eb598SdfKHXY430asW+BuHteD3uZKv0ahUz2wJ3\njA9VlPcm/Cr2eeBhPOgBeKWqbFH/dfEZFvBAdt/Y7oYPiODOeS18UGlGSulBPOAFdzj3xvZOwBax\n3WS3Wbp5KaXxKaV78eBoKc31eq6ctqxXSmllSmlFIQ3ZEqSU0uLY7Io70lSh13zgpeT8Ah8Au5Tr\nWNDIvlJKf8r644u47bQg0yullMYW9cCd7TP19Co0i3puCNyOt2+h2Qh8IGqWvqTZ3JTS3DhmSpyr\ne6mOuX0V5y00ewKfzRkV6bvgF6vg7QfN9QYPMnbDtS6XrfBhx+KzcoPx/j49pVQcfw+wJTUbKzgW\nDzIqXxaT9ccR+MA9Kep1EzCS5v7+CNzP3lDVH81sl6jr2FIeZRvbnJb9cZ845xxq/REz64P3tWvi\nXCvxWZ8D8IvpPlG2ffB2G4v7UGjp77cGHk0pvRnH/SXSg7dDn5TSVLyNVlCHsK+VsV32YYcBZ0V/\nux4PPMv2taTkZ1bhYwh4IP7Dor+mlF6N/U32hfuMF4FdQo+f47YD3rcvAL6Zl7k0Rh6LB1Vl+zoS\neKAoS0rp9ujzCXgcn518HfeFv4/xjihTQS9qNp3rVW+MHIW3y3+FXoenlBZU+XwzOxz32avyc9cZ\nT8o+7D5qPqg8RnYF1jazrrhvmxt6bYMH+Am/W7R7pL8s8w+/wX1SUZ4mP1/y+eXY6Qt4GzXTKjtP\n7rN70NxnPxqaNmIUcFNKaUVK6QV8nBjRSpo8/6VRbyi1aYxFSyrStBqrtSP/qfV8VhVtXlNrZkPw\nDlQEKRsWYsb/DdpSPuDPZjbOzL5S55hB+JVbwRxqTqItrA8sSimtbiX9CfhsSFvzXwB0M7MiSDkS\nv5WCme1qZlfn6TO9JsS+DXHnU+i1TlEuMzuJWvCT559wXe8LvXqa2ZNm9mh06qryLgR2MLNJZnaz\nmW1cUcfR+NU2uF4vA7ea2Rz8ymt5xbm/hM+8rB+fNzOzp/DZlJVRj3XxW1ZH4FeeA83soFb0Iuo1\nCXds/WLfAGBhSml16NU302skPqNQUJRlQ+DhCvs6Fp+lSRV6zcdnNs6p0InIbwg1218fH+QOi693\nwYM2cOc8Khzi6bgDyvW/zswmmNl3sn0TqQX7g4HeZrZ+3qcq9Cr06UvWH/FbYOfh2m9qZj2K9HhQ\nUtRn49B7MH5L59ZCLzO7Cw+Yl+CDXlmv7jQP6uZQC2qr7LORfWFmJ5vZDHzZys+z825mZk+Z2QNm\ntk+p7oWt9cGXpVBPLzNbC59V+gZuW/1pxYeZ2UgzO7ecJ95OK4HbSjaW2xcVmhU+5LPAU9kAVaV3\nodkiaoNHlQ87Bh9078AHqWFmNiRs73Ca2x1mtik+S3NfRb0ws43M7Pas/Aup2fwcPMjLtRoE3JsF\nqRvhtwlzzV/D7w4cnffHUp2n19GqiqF4f70ubOPqqOcifCnBBfjs3Tb4hWrBnvhFdX8z2zb2TQb2\nNbP1zayYre0W350OXGBms4H/xoOnelpBbVx7Gp9lLuyrF7CtmT2GB+sD66QvzjsE71vfMbNxUe59\nzOyx6AdFsJrb1yB8EqHQLNfvRHwZUDnoKexrEG4Tf6Sl5qNx39BsjDSzbngQdmfs6g6sZ2b3R584\n3szOC+2OA86OdG0ZIwdEnt/HA8fNzGzDSN/k882sF/At3Gcn4Ctln1/y2VU+f4iZTTSzOzKbeBlv\n71n4hecbKaU/k8UUUf8D8YvbMj/Ab5+3xoZZm+wGdEspTcwPKPv8zGfPxu8ozaUBJR/WKKZqS0yG\nmR1hZs/i7fJ/W69iQ/as0L7NZWmNNgW1ZtYbdxanZ07snbBXSmln/NbOyWa2b8UxVcZSeQVTh1bT\nm9nn8SDygramjwFrNHCRmT2OO+TV8eWTKaUTs/TdCb3wAKhe+VOkvxJfq1LOfy/gCfwW0cnAUcnf\nNPI54GIz27yivE8BP08p7YDP2Fyff2k+67s9HvgU+a0LHJpSGoxfbQ7Iy5LpVQy08/DbTTsBvwD2\nN59F6YrPqM6Ldr4auKEVvcDXTK0Kvf4r6tVIrzHUZoDyshyOD/RH0dy+8iC+rNdngAkppaVUUGH7\nhg/IJ8fAk1+5Xos7jBn4LZkHijoDx6WUtsdnkfaJfMEH/Y9HUN4VX9NWpCHq20yvKNM5wJRSf/w2\nruVuUc5vFemBMdn5Zod97II78uMLvVJKB+ODbw98Nqesl1HfnjepY5/17IuU0k+A70Y5iguavE3P\nAG4kmwGJwO1XwMrSzFCVXv+P2gztKcBDrfmwlNKYlNLZzSrtzvdHwAEVPiy3L6j2IetF+n8p5VXW\nu176Js3NbHfcxwwFLkgpLSRur+OzxTMp2VCU8eaU0tt16jw3pXRofFwbv9Br5O+707zOc/GlNFDT\nfA/ge8CtZP2xVOftG9W1RFf8Fu4VYRvL8GAWvP5fw2fQ5lG7wzQenwV7Du9rt0QZpuLtcTceoE3N\n8v0q8LWU0sZxzmHNCtdcK3A/vS8ekC3B1+QWrBc6fAPoZWZWkT73M/+SUhqO21c/fBlUkf43ZlYs\nAWhKWqFZwi80R+LracsUaUbjF1JraG5fA3F/35+WY+Tl+Lr04q6E4X7kMHypx3eA60O7X+J9rj1j\n5GDg4ehjq/EgBYv/RwAADNhJREFUs+zzzwEuCp99LX63rKk/1vHZOTOjjDuGPrfE/r74rOZm+EVa\nrxj78vSX44HysmaCmp0XOnyaNhIXU2fhkxHNKPv8zGd/FPhiEezXo+TDGvmTtsRkpJT+kFIaho+x\n3686po2Mx3/LVNa+zWVpjVaD2rgy+R2+TvP32VevhPEXneDVqvQ5xdVF8tsofwBGxBXIhPg7CQ8K\n8lmGwbjDbFTGuyL91fiM6rox8LVIb2afwA1pZD5jklE3/5TSIymlfVJKI6j9oKfMPOD/UNOrSP8K\nvuC70GtJnXo15R96DcZv0fwB2Nx85vX3+CzVNyvKu27sA/gZ3tFyjsZnyp7IrgTXxtcEggfXxUzc\nHHzW9az43xd4PW5jvBbHPIjPXm2Jz8yswm/lgTukBY30Cvv6Seh1Bb5uZic8yFnPzLqGXm9U6ZWX\nJaV0Fx5QfoSafR2ED/7X1LGvrYE9zGwm7mD/HZ9Fz22/F3B2Zl+98CBtFzIHF3cH/oT/gGgY3kZ/\ni+9eiv9L8CBtx/g8N6X0mRikX8TX4L5Rr09lZbonNCp4Jc6Xov6v0MotppTSU7htbZ3ptTF+q3bX\n0KKs1wqa32oejM/ON/VvfH1sH/xHVlDfvvL+uDcxm1xq03F4m26W5flTXNdZbfBBe+ID63w8SNjb\nzH4Y37XJh5nZ4NDn+OTLh3IfNgpfNnFNAx+2DX7r+fiU0ozy+VNKy/H+c2Puw6gNRmUf+E08IGzy\nYSmlW1NKu6eU9sTXVZb7WjnwriTs62S83xb+fjCwONOq+I3Bn+qcptD8r7gPOAr3d03+HrexJbjt\ntdXfz4m/c+McQ/F+ti7wRdwvDsYD1ML2R+DB7MgIjLqZWT+AlNI1KaWdU0r74hfsKyNNcS7wQH2d\nOuUpmI/3yevxuw1F3svxtZsJnyl7m9qFWxOlMbZYWvEqfoE7P+r0UzzQ+jrN7WtO7C80K/TrjveZ\n58K39TKzFSX7KmyirPl/RFk/nZrfVfguHuiekR27CrgzpbQspbQA9/M7xnc3UlpyFtQbI1/GA7w/\nhK3Nwy9iyuwOnB/1OgH3U0fj/XEP3C4H4D67qj/2o3bX9HZ8hn4t4OPAC8mX8dyGj0P/Ti2mOCfq\nfy3NY4ov4xcd+6fWlwJAze9sHn+9oy6DgfFmNqBewvCxU/CJkbbSKKZpEZM1OlHyZRSbF32ovaSU\nFhcTSIX2WX9sV1nq0TCojavCa4CpKaULS1+PwTs/8f+PrZyrl5kVwUIv3MlPjiuQ4fF3JT4zuYWZ\nbWZm3fGON6b+mf3KP9KfGA5kLH67u1nZzGwnfKAdmWrrk8rUzd/MituTPfBZsCtLdTTgU/iAfp2Z\nrRf1vAtvpJ5mtkeUaXkdzcYAx4deB+DB3GL86mVaSmk2PovyGv7jl3J5P5/pNRJ38DnH4oPr8LgS\nXIhfEZ8S359ObUAcjy/aH4l3+PtSSsnM+ptZcct5QdR3Ne4cllFbM3g48Ewret2Arwe8MIx7L3yd\n5BjcqR8Zei2s0qsoS+i1Pb4m9eXQfTI++/WjBva1GP815xD8iv8H1NYIFbY/rGRffwWONL/N+n1q\n9rEnPviMxB376pTSMxGY94tjuuE2Mj0+94vzgLdp0V4t+lTeH6nNihWModaGX6T2S9uyXoPNbO3Q\na+PQexa+9OOlsK9d8aDjdxV69QcGm7MHbp9v42u/e0Q2x0VdTqOBfZnfUrwq9BqR7W+yLzMbirfp\nrPj8n/jF1em0zQd9Hr9QuirK8IuU0pmZZq2l74kPkt8GJlT4sMH4utJ6Pqx/lPW8lNLDeVMQ6/ri\nAvwZ/MeHuQ/rXy6bme2MB9Kjcx+W+ab18JnS/NblVviM4SMV9SM7rrCvx4DuJR94a6bVeXi/WF51\nnpTScXiwuj0eUN6IjzXP4X1iOG5ja+NBUJv8fUrpZTw4PC3OMS50G4uvff14lPFZ4G/h768m/L2Z\njYhyvFbSbBPc/hdFVnPjXOD+o8VMWqZZLzyYnYrbWOF3wNfonxzbX8d9/oKK0xR9+qqSfRm+7GM2\nHrS9ii/raLIv/Nb9psC4kn5vAdumlIaEb1uWUuqR2dcTuO0+Qssx8gTg1JJ9nYjPxB6bUlqTlX0J\nvkSiq/nM4z7UfNhIvC1yvRqNkWNwH7BflGkatTXzTcTE0hB8Fvty3GdfF+c5CF/iM6iBz28aIzOb\nWIMHf3tEPT6J+40rQq+Zoe2x+J2tQq9DogyfTykVvxtojTH4j4Ofxi/6Lor6zMF/6JZPVjT57Nhe\nD/fZbV5jGvmNNrMeYTNbAI/Xi8nKic3so9Fuhf/pTvSh9mJmA7JzNfXHtpalTaTGv3rbG5+mLh7n\nMAGfoQJfZ3IvboT3Ah+J/QPwxlmMO4k5uAEPxdcPFo9zOatBvofig/6M/Dh8kJyDD5JziV/mV6Qf\nii9mLx5xVfxy8B58BqvFY4famP8FeIedht/aKPbvijvPQq/Z+IzWCuDCTK/HqT3S62e40xqAD/zF\nI0Hm4IHRi7Fveuh1Fb5eZ2L8PyHL/0Y8AJyB3/IuFt9PxwO8Qq+b4ri1SvU9Kcq0Anecw2L/fbgj\nXoEHq/fE/s9meYzHbzEWel2AD1STog5/a4Neb2V/F2d6PUztkV634LNTA/CBYUXoVQSCU+O4F8js\nC18PN6xU33MiXbl974hzrqb2KKEq2z83yroSd9qFff0l0i7Hnf3dsb8XPgAXj1yahgf+q6Icr4R+\nN4Tm5T5V1mtZ5LMmynlw6PV66LKU2o8WBsT5V0bdikeJTY06zI4y/QB3/kUZf0w8gi22Xyn0wmfW\nZ1C7A7E6zvs61fZZz75mRdriMVFj69jXA5leKfKdEPlMradXhQ+bFeUs2vHSaKsU/4unHxyP+6/F\n1B7pNAkfYN+Ksk0JLarsayTeJ6dH+66kZkNzovyrY//rFXofEfVdE8e9TM3GxpXOVzwC71fUfole\nzMAVmi2m9oSOI6IMK6Lt7or9G+EBTqHVjNBkXtQz9/cLgSNL/r74QVXZ388KDc7Cg/gWNob721ei\nbc7Kzlk8bq1Y8nQ1fmv/yTjHLXiwPjTqvRy38cfxO1T3ZG34Vmj9saydHop0C6ndZZqD/1BpHO5L\nVoTeZa0KPY+muQ+bR82+BsTnFVGOUbF/xzh2MW73Ce+ThX09H/qcjf/IcDLeDw7I8n+Cms+9Ptu+\njYoxkpZPP7gkvi+PkX+h4tF8cb4Z2f5J1OxrUZxrcrT55Pj+VmBQO8fIh6n5gwfwJySUfX5uYy9H\n3lPwcbOez8592K3U/MtM3CcVeo3Hffpk3B/3yOpfjIWLqD395iXcRov2X5RpnPfBNyPdqsjnGVr6\nrZnUnvKR+7B/jjpNjP9fyfI4P/QogvLvZT7o3Oy4s6Lu06g9BrBuTIb77JNi+1vx/QTcR+xd6kPz\nqT2S8+BGsRo+sVBo/yi1J300Kkulz6r3pzeKCSGEEEKITo/eKCaEEEIIITo9CmqFEEIIIUSnR0Gt\nEEIIIYTo9CioFUIIIYQQnR4FtUIIIYQQotOjoFYIId4FZva2+YsXppi//vGM7NnD9dIMMbPPteHc\nzY4zf33mpX+PcgshxAcNBbVCCPHueCse9L4t/kzJQ/FX/zZiCP464dZodlzy12ee9g7LKYQQH2j0\nnFohhHgXmNnSlFLv7PNQ/OH4/fC3Pd2Av4AD4JSU0l/N7FH8rVsv4A/PvxT4If42pR7AT1JKV1Uc\n9xTwbymlT5nZ9/BXoQ7EX7N7Bv6a0EPwh8J/OqW0ysx2AS7EX8axAPhSatvrPIUQolOhmVohhPg7\nklJ6HvetG+BvK/rnlNLOwDF48ApwJvBQzPBehL+a9I2U0m7AbsCX45WW5ePKbA4chr8693/xt7Jt\nj7/h57B4LfOP8TeA7YK/t/6896TiQgjRwXTt6AIIIcQHEIv/3YDLzGw4/vrRLescfxCwg5kdGZ/7\n4u9oX9lKPnfEbOzTQBfgztj/NL50YStgO+DueOV6F/zVnUII8YFDQa0QQvwdieUHb+OztN/F31e+\nIz57u7xeMuDUlNJdpXPt10p2KwBSSmvMbFWqrSdbg/t3A6aklPZ8B1URQohOhZYfCCHE3wkz6w9c\nCVwWAWZfYF5KaQ3wBXymFGAJsE6W9C7gq7FcADPb0sx6VRzXXqYB/c1szzhvNzPb9l2cTwgh3rdo\nplYIId4da5vZBHypwWr8h2EXxneXA78zs6OAscCy2D8JWG1mE4GfA5fgywXGm68TmA8cXnHcU+0p\nWEppZSxpuNTM+uI+/2JgyjuqqRBCvI/R0w+EEEIIIUSnR8sPhBBCCCFEp0dBrRBCCCGE6PQoqBVC\nCCGEEJ0eBbVCCCGEEKLTo6BWCCGEEEJ0ehTUCiGEEEKITo+CWiGEEEII0elRUCuEEEIIITo9/x9l\nlg8Fed2ujAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a19b69790>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot prices\n",
    "\n",
    "%matplotlib inline\n",
    "import seaborn\n",
    "seaborn.mpl.rcParams['figure.figsize'] = (10.0, 6.0)\n",
    "seaborn.mpl.rcParams['savefig.dpi'] = 90\n",
    "price.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1a1c355dd0>"
      ]
     },
     "execution_count": 95,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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FcM6NBkYnTLs18HoXcEmKZe8G7g6ZflkNJ1NEpP6rxO3XCmilvpjz9WYmLl7HtacclOmk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\nnp1yUwZcMQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a19683610>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot log_returns\n",
    "\n",
    "# log_return = log(pi/pj)\n",
    "log_pj = list(np.log(price['Price']))\n",
    "log_pi = log_pj[1:]\n",
    "log_pi.append(0)\n",
    "assert len(log_pi) == len(log_pj)\n",
    "price['log_ret'] = np.array(log_pi) - np.array(log_pj)\n",
    "price = price[:-1]\n",
    "price.plot(y = 'log_ret')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "after scaling returns by 10000:  [ 0.          0.          1.79597702  0.          0.          1.79565452\n",
      " -0.89778696  0.         -2.69384458  4.4893379  -4.4893379   0.89802883\n",
      " -0.89802883  0.89802883 -0.89802883  1.79597702 -0.89794819  0.\n",
      "  0.89794819 -0.89794819]\n",
      "Iteration:      1,   Func. Count:      6,   Neg. LLF: 89494.7264925\n",
      "Iteration:      2,   Func. Count:     18,   Neg. LLF: 89494.4257887\n",
      "Iteration:      3,   Func. Count:     27,   Neg. LLF: 89486.7008698\n",
      "Iteration:      4,   Func. Count:     34,   Neg. LLF: 89453.6105551\n",
      "Iteration:      5,   Func. Count:     44,   Neg. LLF: 89453.5464945\n",
      "Iteration:      6,   Func. Count:     55,   Neg. LLF: 89452.9490183\n",
      "Iteration:      7,   Func. Count:     67,   Neg. LLF: 89452.8923494\n",
      "Iteration:      8,   Func. Count:     77,   Neg. LLF: 89452.8389404\n",
      "Iteration:      9,   Func. Count:     87,   Neg. LLF: 89452.7649724\n",
      "Iteration:     10,   Func. Count:     94,   Neg. LLF: 89376.2064452\n",
      "Iteration:     11,   Func. Count:    103,   Neg. LLF: 89376.1428025\n",
      "Iteration:     12,   Func. Count:    110,   Neg. LLF: 89350.8453644\n",
      "Iteration:     13,   Func. Count:    116,   Neg. LLF: 89346.6929741\n",
      "Iteration:     14,   Func. Count:    122,   Neg. LLF: 89343.3132238\n",
      "Iteration:     15,   Func. Count:    128,   Neg. LLF: 89343.1929116\n",
      "Iteration:     16,   Func. Count:    134,   Neg. LLF: 89343.1276152\n",
      "Iteration:     17,   Func. Count:    140,   Neg. LLF: 89343.1185673\n",
      "Iteration:     18,   Func. Count:    146,   Neg. LLF: 89343.1184913\n",
      "Iteration:     19,   Func. Count:    152,   Neg. LLF: 89343.1184899\n",
      "Optimization terminated successfully.    (Exit mode 0)\n",
      "            Current function value: 89343.1184899\n",
      "            Iterations: 20\n",
      "            Function evaluations: 152\n",
      "            Gradient evaluations: 19\n"
     ]
    }
   ],
   "source": [
    "# GARCH model\n",
    "returns = 10000 * np.array(price['log_ret']) # need to scale to prevent vanishing gradient during optimization\n",
    "print 'after scaling returns by 10000: ', returns[:20]\n",
    "am = arch_model(returns)\n",
    "\n",
    "# am = ConstantMean(returns)\n",
    "# am.volatility = GARCH(1, 0, 1)\n",
    "# am.distribution = Normal()\n",
    "res = am.fit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                     Constant Mean - GARCH Model Results                      \n",
      "==============================================================================\n",
      "Dep. Variable:                      y   R-squared:                      -0.000\n",
      "Mean Model:             Constant Mean   Adj. R-squared:                 -0.000\n",
      "Vol Model:                      GARCH   Log-Likelihood:               -89343.1\n",
      "Distribution:                  Normal   AIC:                           178694.\n",
      "Method:            Maximum Likelihood   BIC:                           178734.\n",
      "                                        No. Observations:               146660\n",
      "Date:                Tue, Apr 17 2018   Df Residuals:                   146656\n",
      "Time:                        15:20:03   Df Model:                            4\n",
      "                                  Mean Model                                  \n",
      "==============================================================================\n",
      "                  coef    std err          t      P>|t|       95.0% Conf. Int.\n",
      "------------------------------------------------------------------------------\n",
      "mu         -1.4856e-03  1.695e-03     -0.877      0.381 [-4.807e-03,1.836e-03]\n",
      "                               Volatility Model                              \n",
      "=============================================================================\n",
      "                 coef    std err          t      P>|t|       95.0% Conf. Int.\n",
      "-----------------------------------------------------------------------------\n",
      "omega      2.6386e-03  1.487e-03      1.774  7.605e-02 [-2.765e-04,5.554e-03]\n",
      "alpha[1]       0.0424  9.015e-03      4.709  2.495e-06  [2.478e-02,6.011e-02]\n",
      "beta[1]        0.9501  1.277e-02     74.426      0.000      [  0.925,  0.975]\n",
      "=============================================================================\n",
      "\n",
      "Covariance estimator: robust\n"
     ]
    }
   ],
   "source": [
    "print(res.summary())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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aEzrSukl9oOB3fqN6dTj18JbFrRaT87q34X93n1qhbUSK/NzF25FR9m2k+uX4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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a192a2bd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = res.plot(annualize='D')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def sharpe_ratio(x):\n",
    "    mu, sigma = 12 * x.mean(), np.sqrt(12 * x.var())\n",
    "    return np.array([mu, sigma, mu / sigma])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import warnings\n",
    "warnings.simplefilter('ignore')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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A1ZXZVBZnJLo581ZLt4/O/gBb1xXisFsT3Zzr0jMY5JUjHQz7I6xdnMPGlfnz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a194f7090>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "forecasts = res.forecast(horizon=5, method='simulation')\n",
    "sims = forecasts.simulations\n",
    "\n",
    "lines = plt.plot(sims.residual_variances[-1,::10].T, color='#9cb2d6')\n",
    "lines[0].set_label('Simulated path')\n",
    "plt.hold('on')\n",
    "line = plt.plot(forecasts.variance.iloc[-1].values, color='#002868')\n",
    "line[0].set_label('Expected variance')\n",
    "legend = plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# test for GARCH model\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.14"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
